Answer:
t= 24.75 days
Step-by-step explanation:
Here A(t) is the amount of the element that remains after some time. So they tell us that find the time it takes to basically have 4 grams remaining so A(t) = 4
4 = 10 * 0.5 ^ (t/18.72)
0.4= 0.5 ^ (t/18.72)
t= 24.75 days
Answer should make sense because half life is around 18 days which means to go from 10 g to 5g would be somewhere around 18 days but we are going to 4 g so it takes more days
Answer:
Yes! The equation, y = 12x + 28 , work.
Step-by-step explanation:
The line passes through points (-1, 16) and (5, 88)
The slope of the line = change in y ÷ change in x
i.e slope = 
= 12
Taking another point (x ,y) on the line;
Slope is 
= 12
y - 16 = 12x + 12
y = 12x + 12 + 16
y = 12x + 28
So the equation, y = 12x + 28, work!
400(1.07)=428
28(5)=140
140+400= 540.
$540 is your answer
Answer:
35
Step-by-step explanation:
We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.
Apparently, the dad's age is 5·7 = 35.
___
The GCF is 5; the LCM is 70 = 5×14.
_____
Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...
(2 [5) 7]
where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.
Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.
Answer: False, x=14
Step-by-step explanation:
3(14) = 42
42+2=44
x=14
